Define centripetal acceleration derive an expression for it./What is centripetal acceleration derive an expression for it.
Centripetal acceleration is the acceleration of a body that is traveling across a circular path. When a body undergoes a circular motion, its direction constantly changes, and thus its velocity changes (velocity is a vector quantity) which produce an acceleration.
Derivation:
F=mv 2 /r(using centripetal force)
Also, F=ma(using newton’s 2 nd law)
We can rewrite it as a=Fm
Substituting the value in the above equation,
a=mv 2 /r/m
Simplifying it, we get
a=v 2 /r